﻿using System.Collections.Generic;

namespace ProblemsSet
{
    public class Problem_24 : BaseProblem
    {
        public override object GetResult()
        {
            const int max = 1000000;
            var res = new List<string>();
            MathLogic.FormeString(ref res, "", "0123456789", max);
            
            return res[max-1];
        }

        public override string Problem
        {
            get
            {
                return @"A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are:

012   021   102   120   201   210

What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?";
            }
        }

        public override bool IsSolved
        {
            get
            {
                return true;
            }
        }

        public override object Answer
        {
            get
            {
                return 2783915460;
            }
        }

    }
}
